Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains (Q1692413)
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scientific article; zbMATH DE number 6823419
| Language | Label | Description | Also known as |
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| English | Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains |
scientific article; zbMATH DE number 6823419 |
Statements
Analyticity and dynamics of a Navier-Stokes-Keller-Segel system on bounded domains (English)
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9 January 2018
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The Keller-Segel equations for chemotaxis coupled with the Navier-Stokes equations and supplemented with relevant boundary conditions are studied as a model of chemotaxis-fluid flow interaction. The authors prove the instantaneous analytic regularization effect of solutions for some classes of initial data. Then, the asymptotic stability of equilibria corresponding to no-flow boundary conditions is proved.
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Gevrey regularity
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spatial analyticity
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long-time behavior
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instantaneous analytic regularization
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0.9438728
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0.93261856
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0.9271623
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0.91972655
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0.9179871
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0.9072086
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0.9060956
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